Chpt 4 Flashcards
If two angles of one triangle are congruent to two angles of anther triangle then the third angles are congruent
Thereom 4-1
Have congruent corresponding parts
Congruent polygons
If the 3 sides of one triangles are congruent to 3 sides of another triangle then the two triangles are congruent
Side-side-side postulate
If two sides and the include angle of one triangle are congruent to two sides and the included angle of another triangle then the two triangles are congruent
Sas postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle then the two triangles are congruent
Asa postulate
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle then the triangles are congruent
Aas theorem
Corresponding parts of congruent triangles are congruent
Cpctc
Congruent sides of an isosceles triangle
Legs
Third side is
Base
Two congruent sides form
Vertex angle
Other two angles are
Base angles
If two sides of a triangle are congruent then the angles opposite those sides are congruent
Isocleses triangle theorem
If two angles of a triangle are congruent then the sides opposite the angles are congruent
Converse of isosceles triangle theorem
The bisector of the vertex angle of an isosceles triangles is the perpindicular bisector of the base
Thereom 4-5
Statement that follows immedietly from a theorem
Corollary
If a triangle is equilateral the the triangles are equilangular
Corollary to thereom 3-5
If a triangle is equilangular then the triangle is equilateral
Corollary to theorem 4-4
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle the the triangle are congruent
HL theorem
